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20227424 = 257731237
BaseRepresentation
bin100110100101…
…0010101100000
31102001122210212
41031022111200
520134234144
62001313252
7333634040
oct115122540
942048725
1020227424
1110466188
126935828
134262ab9
142987720
151b9849e
hex134a560

20227424 has 48 divisors (see below), whose sum is σ = 46172448. Its totient is φ = 8543232.

The previous prime is 20227421. The next prime is 20227439. The reversal of 20227424 is 42472202.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20227424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20227421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15734 + ... + 16970.

It is an arithmetic number, because the mean of its divisors is an integer number (961926).

Almost surely, 220227424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20227424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23086224).

20227424 is an abundant number, since it is smaller than the sum of its proper divisors (25945024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20227424 is a wasteful number, since it uses less digits than its factorization.

20227424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 23.

The square root of 20227424 is about 4497.4908560218. The cubic root of 20227424 is about 272.4667591246.

Adding to 20227424 its reverse (42472202), we get a palindrome (62699626).

The spelling of 20227424 in words is "twenty million, two hundred twenty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 73 112 146 224 292 511 584 1022 1168 1237 2044 2336 2474 4088 4948 8176 8659 9896 16352 17318 19792 34636 39584 69272 90301 138544 180602 277088 361204 632107 722408 1264214 1444816 2528428 2889632 5056856 10113712 20227424